Question 777907


{{{2-x>=3x+18}}} Start with the given inequality.



{{{-x>=3x+18-2}}} Subtract {{{2}}} from both sides.



{{{-x-3x>=18-2}}} Subtract {{{3x}}} from both sides.



{{{-4x>=18-2}}} Combine like terms on the left side.



{{{-4x>=16}}} Combine like terms on the right side.



{{{x<=(16)/(-4)}}} Divide both sides by {{{-4}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x<=-4}}} Reduce.



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Answer:


So the solution is {{{x<=-4}}}